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11981053764 = 223620272
BaseRepresentation
bin10110010100010000…
…00101111101000100
31010220222110121000000
423022020011331010
5144014122210024
65300511321300
7602621163621
oct131210057504
933828417000
1011981053764
115098aa1029
1223a4520230
13118c25cc34
148192c9348
154a1c7bcc9
hex2ca205f44

11981053764 has 63 divisors (see below), whose sum is σ = 31451401807. Its totient is φ = 3991714344.

The previous prime is 11981053759. The next prime is 11981053769. The reversal of 11981053764 is 46735018911.

The square root of 11981053764 is 109458.

It is a perfect power (a square), and thus also a powerful number.

11981053764 is a `hidden beast` number, since 11 + 98 + 10 + 537 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11981053759) and next prime (11981053769).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11981053769) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5909719 + ... + 5911745.

Almost surely, 211981053764 is an apocalyptic number.

11981053764 is the 109458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11981053764

11981053764 is an abundant number, since it is smaller than the sum of its proper divisors (19470348043).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11981053764 is an frugal number, since it uses more digits than its factorization.

11981053764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11981053764 in words is "eleven billion, nine hundred eighty-one million, fifty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2027 2916 4054 6081 8108 12162 18243 24324 36486 54729 72972 109458 164187 218916 328374 492561 656748 985122 1477683 1970244 2955366 4108729 5910732 8217458 12326187 16434916 24652374 36978561 49304748 73957122 110935683 147914244 221871366 332807049 443742732 665614098 998421147 1331228196 1996842294 2995263441 3993684588 5990526882 11981053764